Question

jose and maris work as sales people for different car dealerships. jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x. maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. the equations that represent the total monthly earnings, y, based on the amount of sales, x, are shown below. jose ( y = 3,500 + 0.06x ) maris ( y = 4,000 + 0.04x ) when the equations are graphed on the desmos graphing calculator, as shown below, the lines intersect at the point ( (25,000, 5,000) ). what does this point mean in relationship to the scenario above? both persons will earn a monthly salary of $5,000 for $25,000 in sales. both persons will earn a monthly salary of $25,000 for $5,000 in sales. both persons will earn a monthly salary of $25,000 for 5,000 vehicles. both persons will earn a monthly salary of $5,000 for 25,000 vehicles.

Explanation:

In the equations \(y = 3500+0.06x\) (Jose) and \(y = 4000 + 0.04x\) (Maris), \(x\) represents the amount of sales (in dollars, not number of vehicles as the problem is about sales amount) and \(y\) represents the monthly earnings. The intersection point \((x,y)=(25000,5000)\) means that when the sales amount \(x = 25000\) (dollars of sales), the monthly earnings \(y = 5000\) (dollars) for both Jose and Maris.

Answer:

A. Both persons will earn a monthly salary of $5,000 for $25,000 in sales.